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choli [55]
3 years ago
13

The arithmetic mean of the monthly salaries of two people is $4361. One person eams $3867 per month. What is the monthly salary

of the other person?
The monthly salary of the other person is $
(Simplify your answer.)
Mathematics
2 answers:
melomori [17]3 years ago
8 0

Answer:

$4855

Step-by-step explanation:

4,361-3867=494 (add this to the mean to get your answer, the rest is just how you prove it)

4855+3867= 8,722

8,722/2 =4,361

Elenna [48]3 years ago
8 0

Answer:

$4855

Step-by-step explanation:

The formula for mean is to add all the terms up and then divide by the number of terms, so in this case you would have:

\frac{3867+x}{2} = 4361

To solve start by multiplying both sides by 2

3867 +x = 8722 - then subtract 3867 from each side

x = 4855

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Write 43 as a sum of powers of 2.<br> (2 Has to be the Base not the exponent)
slamgirl [31]

Answer:

2⁰ + 2¹+ 2⁵ +2³ = 43

Step-by-step explanation:

since 43 is odd, we know 2⁰ or 1 must be one of the sums

43 - 2⁰ = 42

42 - 2¹ = 40

16 = 2⁴

40-2(16) = 40 - 2⁵ = 8

8 = 2³

adding this all together

2⁰ + 2¹+ 2⁵ +2³ = 43

6 0
3 years ago
Please helppp ASAP Content attribution
Aliun [14]

Answer:

The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

Step-by-step explanation:

<em>In the algebraic fractions, the LCD is the least common denominator to find it do that:</em>

  • Factorize each denominator
  • Take all the factors without repeating factors

<em>Let us do that with our question</em>

∵ The denominator of the first fraction is m² + 9m + 20

→ Factorize it into two factors

∵ 20 = 4 × 5 ⇒ the last term

∵ 4 + 5 = 9 ⇒ the coefficient of the middle term

∴ m² + 9m + 20 = (x + 4)(x = 5)

∴ The factors of m² + 9m + 20 are (x + 4) and (x + 5)

<em>Do the same with the 2nd denominator</em>

∵ The denominator of the second fraction is m² + 11m + 28

→ Factorize it into two factors

∵ 28 = 4 × 7 ⇒ the last term

∵ 4 + 7 = 11 ⇒ the coefficient of the middle term

∴ m² + 11m + 28 = (x + 4)(x + 7)

∴ The factors of m² + 11m + 28 are (x + 4) and (x + 7)

∵ The factors of the two denominators are (x + 4), (x + 5), (x + 4), (x + 7)

→ LCD will be all factors without repeating which means we will

   take the factor (x + 4) just one time, we will not repeat it.

∴ LCD = (x + 4)(x + 5)(x + 7)

∴ The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

5 0
3 years ago
How do i round 3,842,532 to the nearest 1,000?
Rom4ik [11]

Answer:

until you only look at the thousands and hundreds place and if the hundred is 5 or more you round the thousands up one

so  3,842,532 rounded the the nearest 1000 is 3,843,000

7 0
2 years ago
Read 2 more answers
A can do a piece of work in 12 days, along with B, can do the work in 8 days.B alone can finish the work in how many days?
eimsori [14]

Answer:

8

Step-by-step explanation:

5 0
3 years ago
What is the probability of flipping a coin 12 times and getting heads 3 times? Round your answer to the nearest tenth of a perce
attashe74 [19]
<h3>Answer: A) 5.4%</h3>

==================================

Explanation:

We use the binomial probability formula here

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

In this case, there are n = 12 trials and p = 0.5 is the probability of getting heads. The value of k = 3 means we want 3 heads.

So,

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

P(3) = (12 C 3)*(0.5)^3*(1-0.5)^(12-3)

P(3) = 220*(0.5)^3*(1-0.5)^(12-3)

P(3) = 0.0537109375

P(3) = 0.054

P(3) = 5.4%

-----------------

Side note: the n C k refers to the nCr combination formula

_n C _r = \frac{n!}{r!*(n-r)!}

where the exclamation marks mean factorials. You could also use Pascal's Triangle as an alternative for this portion.

6 0
3 years ago
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